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In a box, the ratio of red marbles to blue marbles is 7:4. Which of the following could be the total number of marbles in the box? (A) 18 (B) 19 (C) 21 (D) 22

 In a box, the ratio of red marbles to blue marbles is 7:4. Which of the following could be the total number of marbles in the box?
(A) 18 (B) 19 (C) 21 (D) 22

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Option (D) is correct here.
From the question it is given that, the ratio of red marbles to blue marbles is 7:4.
Now, let us assume the common factor of 7 and 4 be x.
So, the total number of marbles in the box = 7x + 4x
= 11x
Hence number of marbles in the box is a multiple of 11.
Therefore, 11 × 2 = 22


Thanks

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